7 papers
Quasi-convergence of stability conditions
Daniel Halpern-Leistner, Jeffrey Jiang, Antonios-Alexandros Robotis
We develop a framework relating semiorthogonal decompositions of a triangulated category to paths in its space of stability conditions. We prove that when $\mathcal{C…
The Space of augmented stability conditions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
Given a triangulated category , we construct a partial compactification, denoted , of the quotient of its stability manifold by…
Properties of deformed mass and phase functions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
We establish basic properties of the deformed mass and phase functions on the space of stability conditions. We prove that these functions are continuous and deduce that the space…
Toward the noncommutative minimal model program for Fano varieties
Tomohiro Karube, Antonios-Alexandros Robotis, Vanja Zuliani
We study the noncommutative minimal model program, as proposed by Halpern-Leistner, for Fano varieties. We construct lifts of Iritani's quantum cohomology central charge in the fol…
A Looming of phantoms
Kimoi Kemboi, Daniel Krashen, Tianle Liu +6
Following Krah's method, we construct new examples of phantom categories as semiorthogonal components of the derived categories of two types of rational surfaces: the blowup of the…
Admissible subcategories of noncommutative curves
Antonios-Alexandros Robotis
We study admissible subcategories of the derived categories of smooth noncommutative (nc) curves as classified by Reiten-van den Bergh. We prove that any admissible subcategory of…